Final answer:
For a normally distributed random variable, the probability density function is a bell-shaped curve that is symmetric about the mean, with the area under the curve equal to 1.
Step-by-step explanation:
For a normally distributed random variable with a mean (μ) and standard deviation (σ), the probability density function (pdf) is a bell-shaped curve that is symmetric about the mean. The area under the curve represents the probability of different values occurring.
Therefore, the correct graph would show a bell-shaped curve centered at the mean, with the area under the curve equal to 1. None of the provided information includes the options for the graph, so it is not possible to accurately determine which graph accurately represents the probability density function without more details.